Author: D'Arcy Wentworth ThompsonPublish On: 2018-01-01
Though we study the visible effects of varying rates of growth throughout wellnigh
all the problems of morphology, it is ... Under these conditions then, the rate of growth is uniform in all directions, and does not affect the form of the organism.
Author: D'Arcy Wentworth Thompson
Publisher: Prabhat Prakashan
It is not the biologist with an inkling of mathematics, but the skilled and learned mathematician who must ultimately deal with such problems as are merely sketched and adumbrated here. I pretend to no mathematical skill, but I have made what use I could of what tools I had; I have dealt with simple cases, and the mathematical methods which I have introduced are of the easiest and simplest kind. Elementary as they are, my book has not been written without the help—the indispensable help—of many friends. Like Mr Pope translating Homer, when I felt myself deficient I sought assistance! And the experience which Johnson attributed to Pope has been mine also, that men of learning did not refuse to help me.
Author: Harry Eugene StanleyPublish On: 2012-12-06
ON GROWTH AND FORM: Fractal and Non-Fractal Patterns in Physics
PREFACE Within the past few years, remarkable progress has occurred in
understanding the structure of a variety of random “forms” and the fashion in
which these forms ...
Author: Harry Eugene Stanley
Publisher: Springer Science & Business Media
We have shown that simple power-law dynamics is expected for flexible fractal objects. Although the predicted behavior is well established for linear polymers, the situationm is considerably more complex for colloidal aggregates. In the latter case, the observed K-dependence of (r) can be explained either in terms of non-asymptotic hydrodynamics or in terms of weak power-law polydispersity. In the case of powders (alumina, in particular) apparent fractal behavior seen in static scattering is not found in the dynamics. ID. W. Schaefer, J. E. Martin, P. Wiitzius, and D. S. Cannell, Phys. Rev. Lett. 52,2371 (1984). 2 J. E. Martin and D. W. Schaefer, Phys. Rev. Lett. 5:1,2457 (1984). 3 D. W. Schaefer and C. C. Han in Dynamic Light Scattering, R. Pecora ed, Plenum, NY, 1985) p. 181. 4 P. Sen, this book. S J. E. Martin and B. J. Ackerson, Phys. Rev. A :11, 1180 (1985). 6 J. E. Martin, to be published. 7 D. A. Weitz, J. S. Huang, M. Y. Lin and J. Sung, Phys. Rev. Lett. 53,1657 (1984) . 8 J. E. Martin, D. W. Schaefer and A. J. Hurd, to be published; D. W. Schaefer, K. D. Keefer, J. E. Martin, and A. J. Hurd, in Physics of Finely Divided Matter, M. Daoud, Ed., Springer Verlag, NY, 1985. 9 D. W. Schaefer and A. J. Hurd, to be published. lOJ. E. Martin, J. Appl. Cryst. (to be published).
The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts.
Author: Alain Goriely
This monograph presents a general mathematical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology and physiology. The theory and methods are illustrated on a wide range of examples and applications. A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D’Arcy Wentworth Thompson’s 1917 book On Growth and Form. The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges. Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike.
This book is unique in the way microbiology is presented.
Author: Arthur Koch
Publisher: Springer Science & Business Media
This book is unique in the way microbiology is presented. As some of the simplest organisms, bacteria have a close connection to physics and chemistry. Throughout the book an appreciation of how these organisms solve their problems is given. They do so in a way that is adequate but less dependent on the evolution of very sophisticated biological tools that are so prominent in the biology of eukaryotic plants and animals. This simplicity is a consequence of the fact that the Domain of Bacteria separated from the evolutionary tree earlier than the other two Domains. Early parts of the book are devoted to evolutionary processes and mathematics for the study of bacteria growth. Also presented are the physics of osmotic pressure, surface tension, and relevant aspects of biochemistry. Since this book presents a novel approach to microbiology, it will be appropriate for all microbiologists and students. Even though it is written so that a prior knowledge of mathematics, physics, chemistry, and microbiology is not needed, it will be read, studied, and thought about by people with a more physical background.
Goodwin envisions some structural laws of growth and form, embedded in the
laws of physics and chemistry, which complement the laws of molecular
interactions but which also transcend them and are not directly emergent from
Author: Peter L. Antonelli
Publisher: University of Alberta
Of interest to theoretical biologists, as well as mathematicians, physical scientists or anyone concerned with problems in growth, chemical ecology and the developmental biology of form, these essays on biological modelling by American, British and Canadian researchers provide an interesting geometric excursion to the frontiers of contemporary mathematical biology.
ABSTRACT: In this article, an analogy is drawn between the concepts of driving forces, scales or morphology in biological systems, and the mathematical descriptions commonly used in materials science to understand the effects of phase ...
ABSTRACT: In this article, an analogy is drawn between the concepts of driving forces, scales or morphology in biological systems, and the mathematical descriptions commonly used in materials science to understand the effects of phase transformation, on microstructures and its impact on mechanical properties. The simple case of pearlite is presented through a review of data from the literature, and the concept of microstructural control via control of the driving force for the phase transition is used to explore theoretical mechanical properties. This concept is then presented as an opportunity to address more complex system such as bainite.
On Growth and Form, the classic by the great D'Arcy Wentworth Thompson
provides the general inspiration for this book. D'Arcy was not one to run with the
herd; he was an original thinker and brilliant classicist, mathematician and
Author: Sanjeev Kumar
Conceived for both computer scientists and biologists alike, this collection of 22 essays highlights the important new role that computers play in developmental biology research. Essays show how through computer modeling, researchers gain further insight into developmental processes. Featured essays also cover their use in designing computer algorithms to tackle computer science problems in areas like neural network design, robot control, evolvable hardware, and more. Peter Bentley, noted for his prolific research on evolutionary computation, and Sanjeev Kumar head up a respected team to guide readers through these very complex and fascinating disciplines. * Covers both developmental biology and computational development -- the only book of its kind! * Provides introductory material and more detailed information on BOTH disciplines * Includes contribututions from Richard Dawkins, Lewis Wolpert, Ian Stewart, and many other experts
Specifically, this work describes the physical and biochemical mechanisms that specify cellular morphology in Escherichia coli and how morphology impacts development and cellular processes.
Author: Carolina Tropini
Life as we know it not only requires complexity, it also necessitates organization. Without organization, the concepts of growth and form are meaningless: in order to survive and reproduce efficiently, living organisms had to evolve to overcome the physical tendency of matter to equilibrate in a disordered state. This thesis explores the interconnection between morphology and cell growth in bacteria, highlighting the importance of organization in bacterial biology. Specifically, this work describes the physical and biochemical mechanisms that specify cellular morphology in Escherichia coli and how morphology impacts development and cellular processes.
CHAPTER 1 Introduction 1.1 ABOUT PATTERNS IN GROWTH Many natural
shapes are designed during their growth . ... In fact , it has already been
admirably presented in D'Arcy Thompson's book , On Growth and Form , where
Author: Pierre Pelcé
Publisher: Oxford University Press on Demand
There exists a wide variety of patterns in nature, from inert matter such as crystalline dendrites and flames, to filamentous fungi and neurones in the living world. Their structural evolution during growth can be theoretically modeled in order to predict the shape of their forms, their dimensions and their growth rate. New Visions on Growth and Form aims at answering such questions by employing different theoretical approaches and providing a critical appraisal. The book is part of the wide field of non-equilibrium statistical physics, and explores different mechanisms such as transport, interfacial tension, and chemical reactions, which govern the growth of a material. It explains the fundamental equations relating different morphological quantities, as well as the relevant experimental control parameters. From the unifying concepts arising in the theoretical approach the author proposes a tentative description of cell morphogenesis as a further application of the theory.
23 ' On Growth and Form ' In 1917 a remarkable work of scholarship and biology
was presented to the scientific world . This was the first edition of the late Sir D'
Arcy Thompson's book On Growth and Form . It was a relatively small edition by ...